1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babunello [35]
2 years ago
11

Question 6

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

The complete equation is: 75a+25b=25\cdot (3a+b).

Step-by-step explanation:

The expression is:

75a+25b=(a+b)

In this case we need to use numbers to make the expression on the right of the equal sign equivalent to the expression on the left.

The expression on the left of the equal sign is:

75a+25b

We will simplify the expression on the left of the equal sign to determine the expression on the right.

Simplify the expression 75a+25b as follows:

  • Factorize the coefficient of <em>a</em> and <em>b</em> as follows:

        75a+25b=(25\cdot3a)+(25\cdot b)

  • Take 25 common from both the coefficients:

        75a+25b=25\cdot (3a+b)

  • The expression on the right side of the equal sign is:

        25\cdot (3a+b)

So, the numbers to be inserted in the expression (a + b) are:

Multiply variable <em>a</em> by 3.

Multiply the resultant expression, i.e. (3a + b) by 25.

Thus, the complete equation is: 75a+25b=25\cdot (3a+b).

You might be interested in
What is (9.2-4.9 ÷ 7)+36.4
olga_2 [115]
Use order of operations or ----> PEMDAS 
(9.2-4.9÷7) +36.4
first divide -4.9 by 7 in the parenthesis. 
9.2-0.7+34.6
now add -0.7 and 34.6
9.2+33.9
now add these numbers together and your answer is.... 43.1

6 0
3 years ago
A. The actual building height will be 596 ft tall. You want your model to be 3 ft tall. What will the scale factor be? For this
astra-53 [7]

Answer: the answer is c

Step-by-step explanation:

If not i'm sorry have a good day/night

5 0
2 years ago
Could someone possibly help me with this
Sergio [31]

Answer:

40

Step-by-step explanation:

The shape has 6 sides a,b,c,d,e,f

The perimeter is the sum of the sides

P = a+b+c+d+e +f

4 of the sides add to 195  a+b+c+d = 195  Replace in the equation

P = 195 +e+f

We know that e and f are equal

P = 195+f+f

P = 195+2f

The perimeter is 275

275=195+2f

Subtract 195 from each side

275 -195 = 195+2f-195

80 = 2f

Divide by 2

80/2 = 2f/2

40 =f

The other 2 sides are 40 ft each

3 0
3 years ago
Solve
madam [21]

Answer:

Step-by-step explanation:

7 0
2 years ago
Andrea watched 10 videos online this week. The documentaries are 1 hour long, the cartoons are 20 minutes long, and the vine com
Rzqust [24]

She watched 5 documentary videos, 1 cartoon video, and 4 vine compilation videos

Step-by-step explanation:

The given is;

  • Andrea watched 10 videos online this week
  • The documentaries are 1 hour long, the cartoons are 20 minutes long, and the vine compilations are 15 minutes long
  • The number of documentaries she watched was equal to the number of times she watched the other two types of videos combined
  • She watched videos for a total of 6 hours and 20 minutes

We need to find how many of each type of video she watched

Assume that the number of documentaries video is x, the number of cartoons video is y and the number of the vine compilations is z

∵ Andrea watched 10 videos

∵ x represents the number of documentary videos

∵ y represents the number of cartoon videos

∵ z represents the number of the vine compilation videos

∴ x + y + z = 10 ⇒ (1)

∵ The documentaries are 1 hour long

- Change it to minutes

∵ 1 hour = 60 minutes

∴ The documentaries are 60 minutes long

∵ The cartoons are 20 minutes long

∵ The vine compilations are 15 minutes long

∵ She watched videos for a total of 6 hours and 20 minutes

- Change it to minutes

∴ She watched videos for a total = 6 × 60 + 20 = 360 + 20 = 380

∴ She watched videos for a total 380 minutes

∴ 60x + 20y + 15z = 380 ⇒ (2)

∵ The number of documentaries she watched was equal to the number

   of times she watched the other two types of videos combined

∴ x = y + z ⇒ (3)

Substitute equation no (3) in equations (1) and (2)

- Substitute x in equation (1) by (y + z)

∵ (y + z) + y + z = 10

- Add like terms

∴ 2y + 2z = 10

- Divide all terms by 2 to simplify the equation

∴ y + z = 5 ⇒ (4)

- Substitute x by (y + z) in equation (2)

∵ 60(y + z) + 20y + 15z = 380

∴ 60y + 60z + 20y + 15z = 380

- Add like terms

∴ 80y + 75z = 380

- Divide all terms by 2 to simplify the equation

∴ 16y + 15z = 76 ⇒ (5)

Solve equations (4) and (5) to find y and z

Multiply equation (4) by -15 to eliminate z

∵ -15y - 15z = -75 ⇒ (6)

- Add equations (5) and (6)

∴ y = 1

Substitute y in equation (4) by 1 to find z

∵ 1 + z = 5

- Subtract 1 from both sides

∴ z = 4

Substitute y by 1 and z by 4 in equation (3)

∵ x = 1 + 4

∴ x = 5

She watched 5 documentary videos, 1 cartoon video, and 4 vine compilation videos

Learn more:

You can learn more about solving the system of equations in brainly.com/question/2115716

#LearnwithBrainly

3 0
3 years ago
Other questions:
  • Write the following equation in the general form Ax + By + C = 0. <br> 2x + y = 6
    8·1 answer
  • three adults and four children must pay $107. two adults and three children must pay $76. find the price of the adult ticks and
    9·1 answer
  • 2x-3y=3 5x+2y=17<br> how do i solve this?
    11·1 answer
  • Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? A hexagon is shown. A triangle with a 60
    10·1 answer
  • A monk crossbred​ plants, which can have purple or white​ flowers, and obtain 769 plants with white flowers and 326 plants with
    5·1 answer
  • Please help me i will mark you brainliesttttttttttttttt
    5·1 answer
  • The function c = 100 + 0.30m represents the cost c (in dollars) of renting a car after driving m miles. What would the cost be t
    5·1 answer
  • Pls help, will mark brainliest
    5·1 answer
  • I need help ASAP will give brainlyest if right
    15·2 answers
  • Felix and Oscar own a pastry shop. Working alone Felix can decorate 8 dozen cookies in 90 minutes. Oscar, on
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!